|Uniform Wrapping Compared to the Logarithmic Spiral - Patrick Bruskiewich|
One very nice problem in calculus is determining the length of paper tightly wrapped up in a roll of paper. Such a system is known as a uniformly wrapped system. The problem is similar to that of a logarithmic spiral, but is governed by the constraint that the distance between each layer of the roll is a constant spacing c. The Logarithmic spiral has no such spacing constraint. This manuscript was written in 1984 but remained lost in the author's papers, until recently rediscovered with other ma...
Keywords: Roll of Paper; Uniform Wrapping; Logarithmic Spiral; arc length